**Instantaneous Velocity and Acceleration of Point B**The device shown rotates about the fixed z-axis with angular velocity \(\omega = 15 \text{ rad/s}\) and angular acceleration \(\alpha = 34 \text{ rad/s}^2\) in the directions indicated. Determine the instantaneous velocity and acceleration of point \(B\).Given:\[\overline{OA} = 310 \text{ mm}, \quad \overline{AB} = 475 \text{ mm}\]**Diagram Description:**The diagram illustrates a rotating device with two arms. The device's rotation is about a fixed vertical z-axis, passing through point \(O\). Points \(A\) and \(B\) represent locations along the arms with angles measured from the horizontal plane (x-y plane).- Each arm is tilted at an angle of \(63^\circ\) from a vertical z-axis.- Point \(A\) is located at a distance of \(310 \text{ mm}\) from point \(O\).- Point \(B\) is located at a distance of \(475 \text{ mm}\) from point \(A\).**Answers:**The answers for the instantaneous velocity (\(\mathbf{v}_B\)) and acceleration (\(\mathbf{a}_B\)) of point \(B\) are as follows:Velocity:\[\mathbf{v}_B = (\text{input value})i + (\text{input value})j + (\text{input value})k \text{ m/s}\]Acceleration:\[\mathbf{a}_B = (17.85 \text{ m/s}^2)i + (-118.125 \text{ m/s}^2)j + (\text{input value})k \text{ m/s}^2\]

Answered: Image /qna-images/answer/7cd3b375-6ba2-4de9-9d0c-cd0f7133008e.jpg

The device shown rotates about the fixed z-axis with angular velocity w = 15 rad/s and angular acceleration a = 34 rad/s² in the directions indicated. Determine the instantaneous velocity and acceleration of point B. 63%- 63° α OA 310 mm, AB = 475 mm i k) m/s i k) m/s² Answers: VB= ag= F i (i 17.85 i+ i i+ i -118.125 j+

The device shown rotates about the fixed z-axis with angular velocity w = 15 rad/s and angular acceleration a = 34 rad/s² in the directions indicated. Determine the instantaneous velocity and acceleration of point B. 63%- 63° α OA 310 mm, AB = 475 mm i k) m/s i k) m/s² Answers: VB= ag= F i (i 17.85 i+ i i+ i -118.125 j+

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

At the instant shown, the shaft and plate rotates with an angular velocity of 19 rad/s and angular acceleration of 9 rad/s². (Figure 1) Figure X D 0.4 m B 0 0.4 m a 0.3 m < 1 of 1 0.6 m 0.2 m C 0.3 m Part A Determine the velocity of point D located on the corner of the plate at this instant. Enter the x, y, and z components of the velocity in meters per second to three significant figures separated by commas. ► View Available Hint(s) (UD), (UD)y, (UD) z = 6.51,4.89,1.63 m/s Submit Previous Answers ✓ Correct Here we learn how to determine the velocity of a point on a rigid body revolving with an angular acceleration about a fixed axis in three dimensions. Part B Determine the acceleration of point D located on the corner of the plate at this instant. Enter the x, y, and z components of the acceleration in meters per second squared to three significant figures separated by commas. ► View Available Hint(s) (ap)z, (ap)y, (ap)₂ = [Π ΑΣΦ | ↓↑ vec Submit Previous Answers X Incorrect; Try…
The device shown rotates about the fixed z-axis with angular velocity w = 22 rad/s and angular acceleration a = 30 rad/s² in the directions indicated. Determine the instantaneous velocity and acceleration of point B. 69% ーー Answers: VB = (i A OA=320 mm, AB = 625 mm ag = ( i B +69° i+ i it i j+ j+ H k) m/s k) m/s²
The system shown moves so that the acceleration of point B in the position shown is ag = -5i {m/s²}. Also, the angular velocity of bar BC is known to be 5 rad/s clockwise. Find the acceleration of the slider block C. (Note that the next question is related to this one.) y WAB WBC 1 m Taylor T e а. ac = -25.42i {m/s²} b. ac = 41.07i {m/s²} 1 m A 30° a. ac = -25.42i {m/s?} b. ac = 41.07i {m/s?} C. ac = -15.65i {m/s²} d. Te a ac = -45.73j {m/s?} е. ac = -33.87i {m/s²}
please round answers to 3rd decimal point
At the instant shown in (Figure 1). rod AB has an angular velocity w AB = 2.4 rad/s and an angular acceleration AB= 10 rad/s². The collar at C is pin-connected to CD and slides over AB. Figure 60⁰° @AB AB 0.75 m D 0.5 m B 1 of 1 € Determine the angular velocity of rod CD at this instant. Express your answer in radians per second to three significant figures. Enter positive value if the direction of velocity is counterclockwise and negative value if the direction of velocity is clockwise. |Π|ΙΑΣΦΗΤΗ WCD= Submit Part B acd= Request Answer Submit Determine the angular acceleration of rod CD at this instant. Express your answer in radians per second squared to three significant figures. Enter positive value if the direction of acceleration is counterclockwise and negative value if the direction of acceleration is clockwise. IVD ΑΣΦΗ Request Answer vec < Return to Assignment vec [w]) ? Provide Feedback rad/s pwo ? rad/s²
4. At the instant shown, the crank AB is rotating with a constant counterclockwise angular velocity of w rpm. Determine the velocity and acceleration of point B in terms of normal and tangential components. W = 44 29.4 45° rpm l = 73.8 .mm l mm Figure 4.
The center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls without slipping on the horizontal surface, determine the velocity of A and the acceleration of B for the instant represented. Assume a = 6.5 m/s², v = 2.3 m/s, b = 0.4 m, 0 = 40°. Answers: VA = i+ i j) m/s i + i j) m/s² ag = i (i
Need only a handwritten solution only (not a typed one).
The rod AB of the mechanism of the image rotates counterclockwise at an angular velocity of 5 rad / s and an angular acceleration of 0 rad / s ^ 2. The position of the pin A moving in the groove at the moment of the picture is xA = 1.3 m and yA = 0.9 m a) What is the relative speed of pin A to rod AB? b) What is the magnitude of the angular velocity ωAC of the rod AC at the moment of the image
The device shown rotates about the fixed z-axis with angular velocity w = 22 rad/s and angular acceleration a = 30 rad/s² in the directions indicated. Determine the instantaneous velocity and acceleration of point B. 69° 4- OA = Answers: VB = (i a = 320 mm, a8 = ( O B 16.32 A @ B -69° AB = 625 mm i+ ! i+ -263.34 0 j+ 0 j+ 0 k) m/s² k) m/s
The constant angular acceleration of the rotating disk is 12 rad/s . The angular velocity of the disk is 24 rad/s clockwise when t = 0. Determine the total angle turned by the disk between t = 0 and t = 4sec. the answer is 48 rad. show your solution.
only Handwritten answer needed please. not typed